3313168450272 has 288 divisors, whose sum is σ = 9772001235360. Its totient is φ = 1064063139840.

The previous prime is 3313168450237. The next prime is 3313168450279. The reversal of 3313168450272 is 2720548613133.

3313168450272 is a `hidden beast` number, since 3 + 3 + 13 + 1 + 68 + 4 + 502 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3313168450272² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313168450279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582993543 + ... + 582999225.

It is an arithmetic number, because the mean of its divisors is an integer number (33930559845).

Almost surely, 2^{3313168450272} is an apocalyptic number.

3313168450272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313168450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886000617680).

3313168450272 is an abundant number, since it is smaller than the sum of its proper divisors (6458832785088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3313168450272 is a wasteful number, since it uses less digits than its factorization.

3313168450272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3313168450272 in words is "three trillion, three hundred thirteen billion, one hundred sixty-eight million, four hundred fifty thousand, two hundred seventy-two".